On the well posedness and further regularity of a diffusive three species aquatic model

Handle URI:
http://hdl.handle.net/10754/334623
Title:
On the well posedness and further regularity of a diffusive three species aquatic model
Authors:
Parshad, R.D.; Upadhyay, R.K.; Thakur, N.K.
Abstract:
We consider Upadhay's three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution.
KAUST Department:
Applied Mathematics and Computational Science Program
Publisher:
Hikari
Journal:
Applied Mathematical Sciences
Issue Date:
2012
Type:
Article
ISSN:
1312-885X
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program

Full metadata record

DC FieldValue Language
dc.contributor.authorParshad, R.D.en
dc.contributor.authorUpadhyay, R.K.en
dc.contributor.authorThakur, N.K.en
dc.date.accessioned2014-11-11T14:32:29Z-
dc.date.available2014-11-11T14:32:29Z-
dc.date.issued2012en
dc.identifier.issn1312-885Xen
dc.identifier.urihttp://hdl.handle.net/10754/334623en
dc.description.abstractWe consider Upadhay's three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution.en
dc.language.isoenen
dc.publisherHikarien
dc.rightsArticles and books published by Hikari Ltd appear under the Creative Commons Attribution License and can be reused and redistributed as long as they are correctly attributed. Authors are allowed to deposit and archive the published PDF of their articles and books into bibliographic databases and university/institutional repositories without any embargo periods.en
dc.rightsArchived with thanks to Applied Mathematical Sciencesen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectStrong solutionen
dc.subjectThree species food chain modelsen
dc.subjectWeak solutionen
dc.titleOn the well posedness and further regularity of a diffusive three species aquatic modelen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalApplied Mathematical Sciencesen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionIndian School of Mines, Department of Applied Mathematics, Dhanbad, Jharkhand 826-004, Indiaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
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